On ss-Lifting Modules In View of Singularity

Authors : Esra Öztürk Sözen, Elif Eryaşar

Pages : 145-155

Doi:10.33484/sinopfbd.1355648

View : 67 | Download : 70

Publication Date : 2023-12-28

Article Type : Research Paper

Abstract :In this essay we describe δss-lifting modules as a singular version of ss-lifting ones. The focus of this study is to get a more general algebraic structure than ss-lifting modules. A module W is entitled δss-lifting if for each S ≤ W, there occurs a decomposition W = X ⊕ Y with X ≤ S and S ∩ Y ≤ Socδ(Y ), where Socδ(Y ) = δ(Y ) ∩ Soc(Y ). We examine the fundamental properties of this form of modules and also investigate a structure of a ring whose modules are all δss-lifting. Finally, we give several characterizations for (projective) δss-lifting modules and (amply) δss-supplemented modules via δss-perfect rings.
Keywords : Yarı basit modül, δss tümlenmi¸s modül, δss yükseltilebilir modül, Sol δss mükemmel halka